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Finding the Third Proportional to 10,232,352 and 22,013,102

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Solution

The third proportional to 10,232,352 and 22,013,102 is: 47,357,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,352 : 22,013,102 = 22,013,102 : x
  2. Step 2: Convert to fraction form
    10,232,352/22,013,102 = 22,013,102/x
  3. Step 3: Cross multiply
    10,232,352x = 22,013,102 × 22,013,102
  4. Step 4: Simplify right side
    10,232,352x = 484,576,659,662,404
  5. Step 5: Solve for x
    x = 484,576,659,662,404/10,232,352
  6. Step 6: Final answer
    x = 47,357,309.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.